SOLUTION: Please help me solve this equation: {{{sqrt(4p+5) + sqrt (p+5) = 3}}}

Question 56523: Please help me solve this equation:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!

The rule is
FOIL

This is a quadratic equation and needs to be set =0 and factored if possible.

(p________)(p______)=0
We need to fill the blanks with two integers that multiply to get -11, but add to get -10:
(-11)*(+1)=-11
(-11)+(+1)=-10
(p-11)(p+1)=0 Set each parenthesis =0 and solve for x:
p-11=0
p=11
P+1=0
p=-1
So x=11 and x=-1 are possible solutions. However, with even radical equations , rational equations, and log equations we have to check our answers for false solutions called extraneous solutions.
substituting x=11

11=3 This proves that x=11 is an extraneous solution.
Substituting x=-1

3=3 This proves that x=-1 is a solution to the equation:

Happy Calculating!!!
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